Least Common Multiple of 3544 and 3548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3544 and 3548 the smallest integer that is 3143528 that is divisible by both numbers.

Least Common Multiple (LCM) of 3544 and 3548 is 3143528.

LCM(3544,3548) = 3143528

LCM of 3544 and 3548

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3544 and 3548

LCM of 3544 and 3548 is 3143528

Least common multiple can be found by multiplying the highest exponent prime factors of 3544 and 3548. First we will calculate the prime factors of 3544 and 3548.

Prime Factorization of 3544


2 3544
2 1772
2 886
443 443
1

Prime factors of 3544 are 2,443. Prime factorization of 3544 in exponential form is:

3544 = 23×4431

Prime Factorization of 3548


2 3548
2 1774
887 887
1

Prime factors of 3548 are 2,887. Prime factorization of 3548 in exponential form is:

3548 = 22×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 3544 and 3548.

LCM(3544,3548) = 23×4431×8871
LCM(3544,3548) = 3143528

Factors of 3544

List of positive integer factors of 3544 that divides 3544 without a remainder.

1, 2, 4, 8, 443, 886, 1772, 3544

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1, 2, 4, 887, 1774, 3548

Least Common Multiple of 3544 and 3548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3544 and 3548, than apply into the LCM equation.

GCF(3544,3548) = 4
LCM(3544,3548) = ( 3544 × 3548) / 4
LCM(3544,3548) = 12574112 / 4
LCM(3544,3548) = 3143528

Properties of LCM 3544 and 3548

(i) The LCM of 3548 and 3544 is associative

LCM of 3544 and 3548 = LCM of 3548 and 3544

Related Least Common Multiples of 3544

Related Least Common Multiples of 3548

Frequently Asked Questions on LCM of 3544 and 3548

1. What is the LCM of 3544 and 3548?

Answer: LCM of 3544 and 3548 is 3143528.

2. What are the Factors of 3544?

Answer: Factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544. There are 8 integers that are factors of 3544. The greatest factor of 3544 is 3544.

3. What are the Factors of 3548?

Answer: Factors of 3548 are 1, 2, 4, 887, 1774, 3548. There are 6 integers that are factors of 3548. The greatest factor of 3548 is 3548.

4. How to Find the LCM of 3544 and 3548?

Answer:

Least Common Multiple of 3544 and 3548 = 3143528

Step 1: Find the prime factorization of 3544

3544 = 2 x 2 x 2 x 443

Step 2: Find the prime factorization of 3548

3548 = 2 x 2 x 887

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3143528 = 2 x 2 x 2 x 443 x 887

Step 4: Therefore, the least common multiple of 3544 and 3548 is 3143528.